Write a point-slope equation of the line that passes through the points ( 2, - 3 ) and ( 7, 5 ). Use ( 2, - 3

and ( 7, 5 ). Use ( 2, - 3 ) as the point ( x1, y1 ).

a. y+3=(5/8)(x-2)
b. y-2=(5/8)(x+3)
c. y-2=(8/5)(x+3)
d. y+3=(8/5)(x-2)

m = 8/5
d. y+3=(8/5)(x-2)

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Slope of a line passing through A(2,-3) and B(7,5) = (5-(-3)}/ (7-2) = 8/5
Equation of line passing through A(2,-3) and having slope =8/5 is
y-(-3) = 8/5{x-2}
y+3 = (8/5)(x-2)....................Ans (d)

(y + 3)(7 -- 2) = (x -- 2)(5 + 3) OR y + 3 = (8/5)(x -- 2) (D)